Collective operations can extremely reduce work fluctuations
We consider work extraction from N copies of a quantum system. When the same work-extraction process is implemented on each copy, the relative size of fluctuations is expected to decay as $1/\sqrt{N}$ . Here, we consider protocols where the copies can be processed collectively, and show that in this...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab36a9 |
| _version_ | 1797750047877627904 |
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| author | Martí Perarnau-Llobet Raam Uzdin |
| author_facet | Martí Perarnau-Llobet Raam Uzdin |
| author_sort | Martí Perarnau-Llobet |
| collection | DOAJ |
| description | We consider work extraction from N copies of a quantum system. When the same work-extraction process is implemented on each copy, the relative size of fluctuations is expected to decay as $1/\sqrt{N}$ . Here, we consider protocols where the copies can be processed collectively, and show that in this case work fluctuations can disappear exponentially fast in N . As a consequence, a considerable proportion of the average extractable work ${ \mathcal W }$ can be obtained almost deterministically by globally processing a few copies of the state. This is derived in the two canonical scenarios for work extraction: (i) in thermally isolated systems, where ${ \mathcal W }$ corresponds to the energy difference between initial and passive states, known as the ergotropy, and (ii) in the presence of a thermal bath, where ${ \mathcal W }$ is given by the free energy difference between initial and thermal states. |
| first_indexed | 2024-03-12T16:27:11Z |
| format | Article |
| id | doaj.art-20844ff224dc4582b41db7d05a02544d |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:27:11Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-20844ff224dc4582b41db7d05a02544d2023-08-08T15:39:19ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121808302310.1088/1367-2630/ab36a9Collective operations can extremely reduce work fluctuationsMartí Perarnau-Llobet0https://orcid.org/0000-0002-4658-0632Raam Uzdin1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, GermanySchulich Faculty of Chemistry, TechnionIsrael Institute of Technology, Haifa 3200000, IsraelWe consider work extraction from N copies of a quantum system. When the same work-extraction process is implemented on each copy, the relative size of fluctuations is expected to decay as $1/\sqrt{N}$ . Here, we consider protocols where the copies can be processed collectively, and show that in this case work fluctuations can disappear exponentially fast in N . As a consequence, a considerable proportion of the average extractable work ${ \mathcal W }$ can be obtained almost deterministically by globally processing a few copies of the state. This is derived in the two canonical scenarios for work extraction: (i) in thermally isolated systems, where ${ \mathcal W }$ corresponds to the energy difference between initial and passive states, known as the ergotropy, and (ii) in the presence of a thermal bath, where ${ \mathcal W }$ is given by the free energy difference between initial and thermal states.https://doi.org/10.1088/1367-2630/ab36a9quantum thermodynamicswork fluctuationscollective processes |
| spellingShingle | Martí Perarnau-Llobet Raam Uzdin Collective operations can extremely reduce work fluctuations New Journal of Physics quantum thermodynamics work fluctuations collective processes |
| title | Collective operations can extremely reduce work fluctuations |
| title_full | Collective operations can extremely reduce work fluctuations |
| title_fullStr | Collective operations can extremely reduce work fluctuations |
| title_full_unstemmed | Collective operations can extremely reduce work fluctuations |
| title_short | Collective operations can extremely reduce work fluctuations |
| title_sort | collective operations can extremely reduce work fluctuations |
| topic | quantum thermodynamics work fluctuations collective processes |
| url | https://doi.org/10.1088/1367-2630/ab36a9 |
| work_keys_str_mv | AT martiperarnaullobet collectiveoperationscanextremelyreduceworkfluctuations AT raamuzdin collectiveoperationscanextremelyreduceworkfluctuations |